"I do apologize for giving into my anger, but... I feel like you know the American people understand where I'm coming from on this," Peters said. "My choice of words was incorrect, but my sentiment, I think, is shared by many."

Media Matters, a liberal anti-Fox monitoring organization, almost immediately flagged the Peters profanity, which caused it to get widespread attention on the web on Monday.

Trevor Noah, the host of "The Daily Show," played the Peters video on Monday night and said, "This is one of those moments where I wish the guy was in the same room as the president. I could just picture Obama at that moment going, 'Why don't, uh, we, uh, take this outside?' "

Both Fox News and Fox Business are cable channels, so they're not subject to the government regulations that police profanities broadcast over the public airwaves.